Answer:
Area = 30 square units
Step-by-step explanation:
First, let's try to visualize the problem:
(-2, 4) • | • (3, 4)
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___________|___________
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(-2, -2) • | • (3, -2)
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Let's find the side lengths;
(-2) - 3 = |-5|, the Base of the rectangle is 5 units.
4 - (-2) = 6, the Height of the rectangle is 6 units.
The formula for area of a rectangle is B × H.
5 × 6 = 30, so the area of the rectangle is 30 units.
Use calculating software for the quickest answer. The answer would be yes with a rate of increase of 1.75
Note: It the given equation the coefficient of must be -16 instead of 16.
Given:
Consider the height of the water balloon over time can be modeled by the function
To find:
The maximum height of the water balloon after it was thrown.
Solution:
We have,
Here, leading coefficient is negative. So, it is a downward parabola and vertex of a downward parabola, is the point of maxima.
If a parabola is , then
Here, . So,
Now, put x=5 in the given equation.
The vertex of the given parabolic equation is (5,450).
Therefore, the maximum height of the balloon is 450 units after 5 units of time.
False, the slant height will be longer than the altitude because if you look at it like a right triangle, the slant height represents the hypotenuse.
The mistake she had done is she should have reversed the inequality as per the division property of inequality.
<h3>What is inequality?</h3>
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
The inequality is:
500 − 30x ≥ 200 −500 −500 −30x ≥ −300 x ≥ 10
Given:
Jamie had $500 in her savings account.
She wants to have at least $200 left in the account at the end of the school year.
The inequality she had done is
500 − 30x ≥ 200 −500 −500 −30x ≥ −300 x ≥ 10
But when she was dividing she should have reversed the inequality as per the division property of inequality.
Learn more about this concept here:
brainly.com/question/18648781
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